Year: 2024
Type: preprint
Abstract: We give a short proof of the well-known Knuth's old sum and provide some generalizations. Our approach utilizes the binomial theorem and integration formulas derived using the Beta function. Several new polynomial identities and combinatorial identities are derived.
Source: arXiv (Cornell University)
Author: Adegoke, Kunle
Institution: Obafemi Awolowo University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4405032472